Unfortunately, there are only a few relevant research results concerning (REF ) so far. More specifically, by solely considering the transmit correlation, [1]} can be employed to get (REF ) in closed-form [2]}, [3]}, [4]}. However, the introduction of the receive correlation will exceedingly complicate the performance analysis due to the intractability of tackling the integral involving hypergeometric functions of matrix argument. By employing the vector-matrix partition, M. Kiessling et al. in [5]} investigated the symbol error rate of a \(2\times 2\)  MIMO case with correlations occurring at both transmit- and receive-sides. However, there is still no general result available for deriving (REF ). Motivated by this, the outage probability for arbitrary data stream \(m\) , \(p_{m,k}^{out}\) , can be accurately approximated as
\(p_{m,k}^{out} \approx \tilde{F} \left( \frac{{{{\left[ {{{\bf {R}}_{t^{\prime }}}^{ - 1}} \right]}_{mm}}}}{{{{\bar{\gamma }}}{\theta _{m,k}}\ell ({d_k})}} \right),\) 
